Question

Considerando a tabela de integrais imediatas, a integral de f(x)=cosx/sen ao quadrado .x é: Escolha uma:

Answer 1

$\displaystyle\mathsf{\int\dfrac{cos\,x}{sen^{2}\,x}\,dx}\\\\\\ \mathsf{\int\dfrac{cos\,x}{sen\,x}\cdot \dfrac{1}{sen\,x}\,dx}\\\\\\ \mathsf{\int cotg\,x\,cossec\,x\,dx}\\\\\\ \mathsf{=-cossec\,x+C}$